The generator matrix 1 0 0 0 0 0 1 1 1 2 1 1 2 0 1 1 0 1 1 0 0 1 1 2 0 2 1 1 1 2 2 1 0 0 2 1 2 2 1 2 1 1 1 1 2 1 1 1 0 1 2 1 2 2 1 0 0 0 1 2 2 2 1 2 2 0 0 0 0 1 1 1 2 0 2 1 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 2 2 1 1 3 1 3 3 1 2 1 0 2 1 1 1 1 1 1 0 2 1 2 1 1 1 1 2 0 1 0 3 2 1 0 1 3 1 1 2 3 1 0 0 0 1 1 3 1 1 2 0 1 0 2 1 1 1 3 0 2 0 1 2 0 1 2 1 0 0 0 1 0 0 0 0 0 0 0 1 3 1 0 1 1 1 2 1 2 1 2 3 2 0 1 2 2 3 3 1 3 1 0 3 3 0 1 3 2 2 1 2 0 0 2 3 3 3 2 1 0 0 1 2 2 2 3 3 3 3 2 1 3 2 0 0 2 0 3 0 2 0 3 2 3 2 0 2 1 0 0 0 1 0 0 0 1 1 1 3 1 0 2 0 0 1 1 1 1 3 2 2 0 3 2 0 3 1 1 3 2 0 2 2 3 0 1 2 1 1 1 2 2 3 3 0 1 0 2 3 0 3 0 3 1 2 1 1 0 3 2 0 3 2 1 2 2 1 3 3 0 0 1 1 2 0 0 3 1 0 0 0 0 1 0 1 1 0 3 2 1 1 3 1 2 2 2 0 0 2 3 0 0 3 0 2 1 1 1 1 1 3 1 3 0 0 1 1 0 3 3 1 0 3 2 3 0 2 0 2 1 1 1 0 3 1 3 3 0 3 1 0 1 1 2 2 2 3 2 2 0 0 3 1 3 0 0 1 1 0 0 0 0 0 1 1 2 3 1 0 1 1 1 3 2 2 0 1 3 1 2 1 1 0 1 1 3 0 1 0 2 2 0 2 1 0 3 2 0 3 1 1 3 3 2 2 0 0 2 0 1 1 2 1 0 2 3 3 1 0 1 2 1 2 3 3 1 0 3 3 3 1 1 2 1 3 1 0 1 0 0 0 0 0 0 2 0 2 2 0 2 2 2 2 0 0 0 2 2 2 0 2 2 0 2 2 2 0 2 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 2 2 2 2 2 0 2 2 0 2 2 0 0 0 0 0 0 0 2 2 0 0 2 0 0 2 2 0 0 0 2 2 0 0 generates a code of length 80 over Z4 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+124x^68+436x^70+666x^72+818x^74+828x^76+928x^78+846x^80+776x^82+826x^84+731x^86+567x^88+318x^90+194x^92+77x^94+36x^96+11x^98+7x^100+1x^106+1x^108 The gray image is a code over GF(2) with n=160, k=13 and d=68. This code was found by Heurico 1.16 in 13.1 seconds.